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Finding the Fourth Proportional to 713.60, 1,069.68 and 439.64

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Solution

The fourth proportional to 713.60, 1,069.68 and 439.64 is: 659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.60 : 1,069.68 = 439.64 : x
  2. Step 2: Convert to fraction form
    713.60/1,069.68 = 439.64/x
  3. Step 3: Cross multiply
    713.60x = 1,069.68 × 439.64
  4. Step 4: Simplify right side
    713.60x = 470,274.12
  5. Step 5: Solve for x
    x = 470,274.12/713.60
  6. Step 6: Final answer
    x = 659.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.